The treasure map in the figure gives the following directions to the buried trea
ID: 2229610 • Letter: T
Question
The treasure map in the figure gives the following directions to the buried treasure: "Start at the old oak tree, walk due north for 460 paces, then due east for 150 paces. Dig." But when you arrive, you find an angry dragon just north of the tree. To avoid the dragon, you set off along the yellow brick road at an angle east of north. After walking 300 paces you see an opening through the woods. (Figure 1)
Which direction should you go to reach the treasure ( West of North) ?How far should you go to reach the treasure?
Explanation / Answer
As always DRAW a diagram of both triangle paths using the given information. 2) Use Pythagorean Theorem a^2 + b^2 = c^2 on MAP triangle: 140^2 + 540^2 = c^2 c = 557.85 paces (actually I don't even think this step is necessary, but it's not bad to know/practice) 3) Use Trigonometry functions to figure out NEW walked path: (moved on the x-axis... not the y-axis like described) (opp) 400sin(30) & (adj) 400cos(30) Reference this diagram to help visualize: http://www.biology.arizona.edu/biomath/t
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